Answered

Makahanap ng mga solusyon sa iyong mga problema sa tulong ng mga eksperto ng IDNStudy.com. Makakuha ng mga kumpletong sagot sa lahat ng iyong mga tanong mula sa aming network ng mga eksperto.

Two sides of a triangle measures 8cm and 12cm respectively. Find the area of its perimeter is 26cm.

Sagot :

Kaiusidn
First we find the third side: 26 = X + 8 + 12 --> X = 6. Then, we find (S) to be used in finding the area of the triangle: S = (1/2)(8 + 12 + 6) = 13. To find the area, we solve: A = sqrt (13)(13 - 8)(13 - 12)(13 - 6) = 21.33 cm^2.
Riza1idn
[tex]Two \ sides \ of \ a \ triangle \ measures : \\a= 8\ cm, \ \ b= 12\ cm , \ \ c=? \\ perimeter : \ P=26 \ cm \\\\P=a+b+c\\ \\26 =8+12+c \\26=20+c\\c=26-20\\c=6\ cm[/tex]

[tex]Heron's \ formula \\ \\ You \ can \ use \ this \ formula \ to \ find \ the \ area \ of \ a \ triangle \ using \ the \ 3 \ side \ lengths. \\ \\ A = \sqrt{s(s-a)(s-b)(s-c)} \\ \\where \ " s" \ is \ the semi \ perimeter \ of \ the t\ riangle : \\ \\s=\frac{a+b+c}{2}.[/tex]

[tex]s=\frac{8+12+6}{2}=\frac{26}{2}=13 \ cm\\ \\ A = \sqrt{13(13-8)(13-12)(13-6)}\\\\A = \sqrt{13 \cdot 5\cdot 1\cdot 7} \\\\A=\sqrt{455}\ cm^2\\ \\A\approx 21,33 \ cm^2[/tex]